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Figure 13 | The Journal of Mathematical Neuroscience

Figure 13

From: M-current induced Bogdanov–Takens bifurcation and switching of neuron excitability class

Figure 13

Bifurcation diagrams showing the change of synchronisation of two identical, synaptically coupled neurons as \(g_{M}\) is varied. For all examples with \(g_{M}< g_{M}^{*}\) (the BT point) excitatory coupling leads to phase-locking in anti-phase (phase difference π), while inhibitory coupling leads to in-phase (phase difference 0). In all cases \(g_{M}\) has to be increased significantly past the BT value before the solution switches to in-phase for excitatory coupling and anti-phase for inhibitory coupling

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